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Finding the Fourth Proportional to 304,297.34, 419,788.82 and 196,902.04

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Solution

The fourth proportional to 304,297.34, 419,788.82 and 196,902.04 is: 271,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,297.34 : 419,788.82 = 196,902.04 : x
  2. Step 2: Convert to fraction form
    304,297.34/419,788.82 = 196,902.04/x
  3. Step 3: Cross multiply
    304,297.34x = 419,788.82 × 196,902.04
  4. Step 4: Simplify right side
    304,297.34x = 82,657,275,027.19
  5. Step 5: Solve for x
    x = 82,657,275,027.19/304,297.34
  6. Step 6: Final answer
    x = 271,633.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.